Problems answered correctly after the original due date are subject to a 20% pen

Question

Problems answered correctly after the original due date are subject to a 20% penalty. Due in 8 hours, 30 minutes. Due Sat 11/18/2017 11:59 pm Scores for a common standardized college aptitude test are normally distributed with a mean of 492 and a standard deviation of 107. Randomly selected men are given a Test Prepartion Course before taking this test. Assume, for sake of argument, that the test has no effect If 1 of the men is randomly selected, find the probability that his score is at least 556.7, N> 5567)- Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted If 7 of the men are randomly selected, find to probability that their mean score is at least 556.7 P(M 556.7)- Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted If the random sample of 7 men does result in a mean score of 556.7, is there strong evidence to support the claim that the course is actually effective? ONo. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 556.7 O Yes. The probability indicates that is is (highly ?) unlikely that by chance, a randomly selected group of students would get a mean as high as 556.7 Points available on this attempt: 8 of original 10 This is attempt 1 of 3. Message instructor about this question Submit MacBook Ai FS F7 0

Explanation / Answer

Mean = 492

SD = 107

a) P(X > 556.7)

z = (556.7 - 492)/107

P = 0.000032

So,

c) NO is the answer

z = 0.605

P = 0.2743

b)

z = (556.7 - 492)/107/7

z = 0.605

P = 4.233

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